Is it possible to factor $y=-4x^2+4x-1$ ? If so, what are the factors?

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Answer 1 · 2016-01-27T20:32:30

$-(-2x+1)^2$

$-4x^2+4x-1=-(4x^2-4x+1)$

$(4x^2-4x+1)$ corresponds to a notable case of polynoms of second degree:

$a^2+2ab+b^2=(a+b)^2$

with a=-2x and b=1.

So the factorization is :

$-(-2x+1)^2$

Is it possible to factor y=-4x^2+4x-1 y=-4x^2+4x-1 ? If so, what are the factors?